Least Common Multiple of 1563 and 1570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1563 and 1570 the smallest integer that is 2453910 that is divisible by both numbers.

Least Common Multiple (LCM) of 1563 and 1570 is 2453910.

LCM(1563,1570) = 2453910

LCM of 1563 and 1570

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1563 and 1570

LCM of 1563 and 1570 is 2453910

Least common multiple can be found by multiplying the highest exponent prime factors of 1563 and 1570. First we will calculate the prime factors of 1563 and 1570.

Prime Factorization of 1563


3 1563
521 521
1

Prime factors of 1563 are 3,521. Prime factorization of 1563 in exponential form is:

1563 = 31×5211

Prime Factorization of 1570


2 1570
5 785
157 157
1

Prime factors of 1570 are 2, 5,157. Prime factorization of 1570 in exponential form is:

1570 = 21×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1563 and 1570.

LCM(1563,1570) = 21×31×51×1571×5211
LCM(1563,1570) = 2453910

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1, 3, 521, 1563

Factors of 1570

List of positive integer factors of 1570 that divides 1570 without a remainder.

1, 2, 5, 10, 157, 314, 785, 1570

Least Common Multiple of 1563 and 1570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1563 and 1570, than apply into the LCM equation.

GCF(1563,1570) = 1
LCM(1563,1570) = ( 1563 × 1570) / 1
LCM(1563,1570) = 2453910 / 1
LCM(1563,1570) = 2453910

Properties of LCM 1563 and 1570

(i) The LCM of 1570 and 1563 is associative

LCM of 1563 and 1570 = LCM of 1570 and 1563

Related Least Common Multiples of 1563

Related Least Common Multiples of 1570

Frequently Asked Questions on LCM of 1563 and 1570

1. What is the LCM of 1563 and 1570?

Answer: LCM of 1563 and 1570 is 2453910.

2. What are the Factors of 1563?

Answer: Factors of 1563 are 1, 3, 521, 1563. There are 4 integers that are factors of 1563. The greatest factor of 1563 is 1563.

3. What are the Factors of 1570?

Answer: Factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570. There are 8 integers that are factors of 1570. The greatest factor of 1570 is 1570.

4. How to Find the LCM of 1563 and 1570?

Answer:

Least Common Multiple of 1563 and 1570 = 2453910

Step 1: Find the prime factorization of 1563

1563 = 3 x 521

Step 2: Find the prime factorization of 1570

1570 = 2 x 5 x 157

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2453910 = 2 x 3 x 5 x 157 x 521

Step 4: Therefore, the least common multiple of 1563 and 1570 is 2453910.